Asymptotic expansions for large elastic strain of a circular plate
type: Item
instance of: scholarly article
title: Asymptotic expansions for large elastic strain of a circular plate
zbMATH Open document ID: 0614.73041
DOI: 10.1016/0020-7683(87)90075-8
author: L. A. Taber
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: A WKB-type asymptotic solution is developed for the equations governing large elastic deformation of a clamped circular plate under uniform pressure. The analysis, which neglects transverse shear strains, includes large displacements, rotations, and normal strains for a plate composed of a Mooney material. With the plate interior dominated by nonlinear membrane action, the results indicate the existence of two types of edge boundary layers: a membrane-type layer, which develops a strains grow large, is contained within a wider, bending-type boundary layer. Results indicate a strong interaction between bending and stretching in the edge zone.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 3995169
zbMATH Keywords: WKB-type asymptotic solution
zbMATH Keywords: large elastic deformation
zbMATH Keywords: clamped circular plate
zbMATH Keywords: uniform pressure
zbMATH Keywords: large displacements
zbMATH Keywords: rotations
zbMATH Keywords: normal strains
zbMATH Keywords: Mooney material
zbMATH Keywords: nonlinear membrane action
zbMATH Keywords: two types of edge boundary layers
zbMATH Keywords: membrane-type
zbMATH Keywords: bending-type
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90075-8
OpenAlex ID: W1969249917
description: scientific article; zbMATH DE number 3995169